1 // Copyright (C) 2007-2014 CEA/DEN, EDF R&D, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
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13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
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18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // File: SMESH_MesherHelper.hxx
24 // Created: 15.02.06 14:48:09
25 // Author: Sergey KUUL
27 #ifndef SMESH_MesherHelper_HeaderFile
28 #define SMESH_MesherHelper_HeaderFile
30 #include "SMESH_SMESH.hxx"
32 #include "SMESH_MeshEditor.hxx" // needed for many meshers
33 #include <SMDS_MeshNode.hxx>
34 #include <SMDS_QuadraticEdge.hxx>
36 #include <Geom_Surface.hxx>
37 #include <TopoDS_Face.hxx>
38 #include <TopoDS_Shape.hxx>
39 #include <gp_Pnt2d.hxx>
44 class GeomAPI_ProjectPointOnSurf;
45 class GeomAPI_ProjectPointOnCurve;
46 class SMESH_ProxyMesh;
48 typedef std::map<SMESH_TLink, const SMDS_MeshNode*> TLinkNodeMap;
49 typedef std::map<SMESH_TLink, const SMDS_MeshNode*>::iterator ItTLinkNode;
51 typedef SMDS_Iterator<const TopoDS_Shape*> PShapeIterator;
52 typedef boost::shared_ptr< PShapeIterator > PShapeIteratorPtr;
54 typedef std::vector<const SMDS_MeshNode* > TNodeColumn;
55 typedef std::map< double, TNodeColumn > TParam2ColumnMap;
57 typedef gp_XY (*xyFunPtr)(const gp_XY& uv1, const gp_XY& uv2);
59 //=======================================================================
61 * \brief It helps meshers to add elements and provides other utilities
63 * - It allows meshers not to care about creation of medium nodes
64 * when filling a quadratic mesh. Helper does it itself.
65 * It defines order of elements to create when IsQuadraticSubMesh()
67 * - It provides information on a shape it is initialized with:
68 * periodicity, presence of singularities etc.
71 //=======================================================================
73 class SMESH_EXPORT SMESH_MesherHelper
76 // ---------- PUBLIC UTILITIES ----------
79 * \brief Returns true if all elements of a sub-mesh are of same shape
80 * \param smDS - sub-mesh to check elements of
81 * \param shape - expected shape of elements
82 * \param nullSubMeshRes - result value for the case of smDS == NULL
83 * \retval bool - check result
85 static bool IsSameElemGeometry(const SMESHDS_SubMesh* smDS,
86 SMDSAbs_GeometryType shape,
87 const bool nullSubMeshRes = true);
90 * \brief Load nodes bound to face into a map of node columns
91 * \param theParam2ColumnMap - map of node columns to fill
92 * \param theFace - the face on which nodes are searched for
93 * \param theBaseSide - the edges holding nodes on which columns' bases
94 * \param theMesh - the mesh containing nodes
95 * \retval bool - false if something is wrong
97 * The key of the map is a normalized parameter of each
98 * base node on theBaseSide. Edges in theBaseSide must be sequenced.
99 * This method works in supposition that nodes on the face
100 * forms a structured grid and elements can be quardrangles or triangles
102 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
103 const TopoDS_Face& theFace,
104 const std::list<TopoDS_Edge>& theBaseSide,
105 SMESHDS_Mesh* theMesh,
106 SMESH_ProxyMesh* theProxyMesh=0);
108 * \brief Variant of LoadNodeColumns() above with theBaseSide given by one edge
110 static bool LoadNodeColumns(TParam2ColumnMap & theParam2ColumnMap,
111 const TopoDS_Face& theFace,
112 const TopoDS_Edge& theBaseEdge,
113 SMESHDS_Mesh* theMesh,
114 SMESH_ProxyMesh* theProxyMesh=0);
116 * \brief Return true if 2D mesh on FACE is structured
118 static bool IsStructured( SMESH_subMesh* faceSM );
121 * \brief Return true if 2D mesh on FACE is distored
123 static bool IsDistorted2D( SMESH_subMesh* faceSM, bool checkUV=false );
126 * \brief Returns true if given node is medium
127 * \param n - node to check
128 * \param typeToCheck - type of elements containing the node to ask about node status
129 * \retval bool - check result
131 static bool IsMedium(const SMDS_MeshNode* node,
132 const SMDSAbs_ElementType typeToCheck = SMDSAbs_All);
134 * \brief Return support shape of a node
135 * \param node - the node
136 * \param meshDS - mesh DS
137 * \retval TopoDS_Shape - found support shape
138 * \sa SMESH_Algo::VertexNode( const TopoDS_Vertex&, SMESHDS_Mesh* )
140 static TopoDS_Shape GetSubShapeByNode(const SMDS_MeshNode* node,
141 const SMESHDS_Mesh* meshDS);
144 * \brief Return a valid node index, fixing the given one if necessary
145 * \param ind - node index
146 * \param nbNodes - total nb of nodes
147 * \retval int - valid node index
149 static inline int WrapIndex(int ind, const int nbNodes) {
150 return (( ind %= nbNodes ) < 0 ) ? ind + nbNodes : ind;
154 * \brief Return UV of a point inside a quadrilateral FACE by it's
155 * normalized parameters within a unit quadrangle and the
156 * corresponding projections on sub-shapes of the real-world FACE.
157 * The used calculation method is called Trans-Finite Interpolation (TFI).
158 * \param x,y - normalized parameters that should be in range [0,1]
159 * \param a0,a1,a2,a3 - UV of VERTEXes of the FACE == projections on VERTEXes
160 * \param p0,p1,p2,p3 - UV of the point projections on EDGEs of the FACE
161 * \return gp_XY - UV of the point on the FACE
163 * Y ^ Order of those UV in the FACE is as follows.
171 * o---x-----o ----> X
174 inline static gp_XY calcTFI(double x, double y,
175 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
176 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3);
179 * \brief Same as "gp_XY calcTFI(...)" but in 3D
181 inline static gp_XYZ calcTFI(double x, double y,
182 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
183 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3);
185 * \brief Count nb of sub-shapes
186 * \param shape - the shape
187 * \param type - the type of sub-shapes to count
188 * \param ignoreSame - if true, use map not to count same shapes, esle use explorer
189 * \retval int - the calculated number
191 static int Count(const TopoDS_Shape& shape,
192 const TopAbs_ShapeEnum type,
193 const bool ignoreSame);
196 * \brief Return number of unique ancestors of the shape
198 static int NbAncestors(const TopoDS_Shape& shape,
199 const SMESH_Mesh& mesh,
200 TopAbs_ShapeEnum ancestorType=TopAbs_SHAPE);
202 * \brief Return iterator on ancestors of the given type
204 static PShapeIteratorPtr GetAncestors(const TopoDS_Shape& shape,
205 const SMESH_Mesh& mesh,
206 TopAbs_ShapeEnum ancestorType);
208 * \brief Find a common ancestor, of the given type, of two shapes
210 static TopoDS_Shape GetCommonAncestor(const TopoDS_Shape& shape1,
211 const TopoDS_Shape& shape2,
212 const SMESH_Mesh& mesh,
213 TopAbs_ShapeEnum ancestorType);
215 * \brief Return orientation of sub-shape in the main shape
217 static TopAbs_Orientation GetSubShapeOri(const TopoDS_Shape& shape,
218 const TopoDS_Shape& subShape);
220 static bool IsSubShape( const TopoDS_Shape& shape, const TopoDS_Shape& mainShape );
222 static bool IsSubShape( const TopoDS_Shape& shape, SMESH_Mesh* aMesh );
224 static bool IsBlock( const TopoDS_Shape& shape );
226 static double MaxTolerance( const TopoDS_Shape& shape );
228 static double GetAngle( const TopoDS_Edge & E1, const TopoDS_Edge & E2,
229 const TopoDS_Face & F, const TopoDS_Vertex & V,
230 gp_Vec* faceNormal=0);
232 static bool IsClosedEdge( const TopoDS_Edge& anEdge );
234 static TopoDS_Vertex IthVertex( const bool is2nd, TopoDS_Edge anEdge, const bool CumOri=true );
236 static TopAbs_ShapeEnum GetGroupType(const TopoDS_Shape& group,
237 const bool avoidCompound=false);
241 // ---------- PUBLIC INSTANCE METHODS ----------
244 SMESH_MesherHelper(SMESH_Mesh& theMesh);
246 SMESH_Mesh* GetMesh() const { return myMesh; }
248 SMESHDS_Mesh* GetMeshDS() const { return GetMesh()->GetMeshDS(); }
251 * Check submesh for given shape: if all elements on this shape are quadratic,
252 * quadratic elements will be created. Also fill myTLinkNodeMap
254 bool IsQuadraticSubMesh(const TopoDS_Shape& theShape);
256 * \brief Set order of elements to create without calling IsQuadraticSubMesh()
260 * \brief Set myCreateQuadratic flag
262 void SetIsQuadratic(const bool theBuildQuadratic)
263 { myCreateQuadratic = theBuildQuadratic; }
266 * \brief Set myCreateBiQuadratic flag
268 void SetIsBiQuadratic(const bool theBuildBiQuadratic)
269 { myCreateBiQuadratic = theBuildBiQuadratic; }
272 * \brief Return myCreateQuadratic flag
274 bool GetIsQuadratic() const { return myCreateQuadratic; }
277 * \brief Find out elements orientation on a geometrical face
279 bool IsReversedSubMesh (const TopoDS_Face& theFace);
282 * \brief Return myCreateBiQuadratic flag
284 bool GetIsBiQuadratic() const { return myCreateBiQuadratic; }
287 * \brief Move medium nodes of faces and volumes to fix distorted elements
288 * \param error - container of fixed distorted elements
289 * \param volumeOnly - fix nodes on geom faces or not if the shape is solid
291 void FixQuadraticElements(SMESH_ComputeErrorPtr& error, bool volumeOnly=true);
294 * \brief To set created elements on the shape set by IsQuadraticSubMesh()
295 * or the next methods. By defaul elements are set on the shape if
296 * a mesh has no shape to be meshed
298 bool SetElementsOnShape(bool toSet)
299 { bool res = mySetElemOnShape; mySetElemOnShape = toSet; return res; }
302 * \brief Set shape to make elements on without calling IsQuadraticSubMesh()
304 void SetSubShape(const int subShapeID);//!==SMESHDS_Mesh::ShapeToIndex(shape)
305 void SetSubShape(const TopoDS_Shape& subShape);
307 * \brief Return ID of the shape set by IsQuadraticSubMesh() or SetSubShape()
308 * \retval int - shape index in SMESHDS
310 int GetSubShapeID() const { return myShapeID; }
312 * \brief Return the shape set by IsQuadraticSubMesh() or SetSubShape()
314 const TopoDS_Shape& GetSubShape() const { return myShape; }
317 * Creates a node (!Note ID before u=0.,v0.)
319 SMDS_MeshNode* AddNode(double x, double y, double z, int ID = 0, double u=0., double v=0.);
321 * Creates quadratic or linear edge
323 SMDS_MeshEdge* AddEdge(const SMDS_MeshNode* n1,
324 const SMDS_MeshNode* n2,
326 const bool force3d = true);
328 * Creates quadratic or linear triangle
330 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
331 const SMDS_MeshNode* n2,
332 const SMDS_MeshNode* n3,
334 const bool force3d = false);
336 * Creates bi-quadratic, quadratic or linear quadrangle
338 SMDS_MeshFace* AddFace(const SMDS_MeshNode* n1,
339 const SMDS_MeshNode* n2,
340 const SMDS_MeshNode* n3,
341 const SMDS_MeshNode* n4,
343 const bool force3d = false);
345 * Creates polygon, with additional nodes in quadratic mesh
347 SMDS_MeshFace* AddPolygonalFace (const std::vector<const SMDS_MeshNode*>& nodes,
349 const bool force3d = false);
351 * Creates quadratic or linear tetrahedron
353 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
354 const SMDS_MeshNode* n2,
355 const SMDS_MeshNode* n3,
356 const SMDS_MeshNode* n4,
358 const bool force3d = true);
360 * Creates quadratic or linear pyramid
362 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
363 const SMDS_MeshNode* n2,
364 const SMDS_MeshNode* n3,
365 const SMDS_MeshNode* n4,
366 const SMDS_MeshNode* n5,
368 const bool force3d = true);
370 * Creates quadratic or linear pentahedron
372 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
373 const SMDS_MeshNode* n2,
374 const SMDS_MeshNode* n3,
375 const SMDS_MeshNode* n4,
376 const SMDS_MeshNode* n5,
377 const SMDS_MeshNode* n6,
379 const bool force3d = true);
381 * Creates bi-quadratic, quadratic or linear hexahedron
383 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
384 const SMDS_MeshNode* n2,
385 const SMDS_MeshNode* n3,
386 const SMDS_MeshNode* n4,
387 const SMDS_MeshNode* n5,
388 const SMDS_MeshNode* n6,
389 const SMDS_MeshNode* n7,
390 const SMDS_MeshNode* n8,
392 bool force3d = true);
395 * Creates LINEAR!!!!!!!!! octahedron
397 SMDS_MeshVolume* AddVolume(const SMDS_MeshNode* n1,
398 const SMDS_MeshNode* n2,
399 const SMDS_MeshNode* n3,
400 const SMDS_MeshNode* n4,
401 const SMDS_MeshNode* n5,
402 const SMDS_MeshNode* n6,
403 const SMDS_MeshNode* n7,
404 const SMDS_MeshNode* n8,
405 const SMDS_MeshNode* n9,
406 const SMDS_MeshNode* n10,
407 const SMDS_MeshNode* n11,
408 const SMDS_MeshNode* n12,
410 bool force3d = true);
413 * Creates polyhedron. In quadratic mesh, adds medium nodes
415 SMDS_MeshVolume* AddPolyhedralVolume (const std::vector<const SMDS_MeshNode*>& nodes,
416 const std::vector<int>& quantities,
418 const bool force3d = true);
420 * \brief Enables fixing node parameters on EDGEs and FACEs by
421 * GetNodeU(...,check=true), GetNodeUV(...,check=true), CheckNodeUV() and
422 * CheckNodeU() in case if a node lies on a shape set via SetSubShape().
425 void ToFixNodeParameters(bool toFix);
428 * \brief Return U of the given node on the edge
430 double GetNodeU(const TopoDS_Edge& theEdge,
431 const SMDS_MeshNode* theNode,
432 const SMDS_MeshNode* inEdgeNode=0,
433 bool* check=0) const;
435 * \brief Return node UV on face
436 * \param inFaceNode - a node of element being created located inside a face
437 * \param check - if provided, returns result of UV check that it enforces
439 gp_XY GetNodeUV(const TopoDS_Face& F,
440 const SMDS_MeshNode* n,
441 const SMDS_MeshNode* inFaceNode=0,
442 bool* check=0) const;
444 * \brief Check and fix node UV on a face
445 * \param force - check even if checks of other nodes on this face passed OK
446 * \param distXYZ - returns result distance and point coordinates
447 * \retval bool - false if UV is bad and could not be fixed
449 bool CheckNodeUV(const TopoDS_Face& F,
450 const SMDS_MeshNode* n,
453 const bool force=false,
454 double distXYZ[4]=0) const;
456 * \brief Check and fix node U on an edge
457 * \param force - check even if checks of other nodes on this edge passed OK
458 * \param distXYZ - returns result distance and point coordinates
459 * \retval bool - false if U is bad and could not be fixed
461 bool CheckNodeU(const TopoDS_Edge& E,
462 const SMDS_MeshNode* n,
465 const bool force=false,
466 double distXYZ[4]=0) const;
468 * \brief Return middle UV taking in account surface period
470 static gp_XY GetMiddleUV(const Handle(Geom_Surface)& surface,
474 * \brief Return UV for the central node of a biquadratic triangle
476 static gp_XY GetCenterUV(const gp_XY& uv1,
484 * \brief Define a pointer to wrapper over a function of gp_XY class,
485 * suitable to pass as xyFunPtr to applyIn2D().
486 * For exaple gp_XY_FunPtr(Added) defines pointer gp_XY_Added to function
487 * calling gp_XY::Added(gp_XY), which is to be used like following
488 * applyIn2D(surf, uv1, uv2, gp_XY_Added)
490 #define gp_XY_FunPtr(meth) \
491 static gp_XY __gpXY_##meth (const gp_XY& uv1, const gp_XY& uv2) { return uv1.meth( uv2 ); } \
492 static xyFunPtr gp_XY_##meth = & __gpXY_##meth
495 * \brief Perform given operation on two 2d points in parameric space of given surface.
496 * It takes into account period of the surface. Use gp_XY_FunPtr macro
497 * to easily define pointer to function of gp_XY class.
499 static gp_XY applyIn2D(const Handle(Geom_Surface)& surface,
503 const bool resultInPeriod=true);
506 * \brief Check if inFaceNode argument is necessary for call GetNodeUV(F,..)
507 * \retval bool - return true if the face is periodic
509 * If F is Null, answer about subshape set through IsQuadraticSubMesh() or
512 bool GetNodeUVneedInFaceNode(const TopoDS_Face& F = TopoDS_Face()) const;
515 * \brief Return projector intitialized by given face without location, which is returned
517 GeomAPI_ProjectPointOnSurf& GetProjector(const TopoDS_Face& F,
518 TopLoc_Location& loc,
519 double tol=0 ) const;
522 * \brief Check if shape is a degenerated edge or it's vertex
523 * \param subShape - edge or vertex index in SMESHDS
524 * \retval bool - true if subShape is a degenerated shape
526 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called
528 bool IsDegenShape(const int subShape) const
529 { return myDegenShapeIds.find( subShape ) != myDegenShapeIds.end(); }
531 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
532 * has a degenerated edges
533 * \retval bool - true if it has
535 bool HasDegeneratedEdges() const { return !myDegenShapeIds.empty(); }
538 * \brief Check if shape is a seam edge or it's vertex
539 * \param subShape - edge or vertex index in SMESHDS
540 * \retval bool - true if subShape is a seam shape
542 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
543 * Seam shape has two 2D alternative represenations on the face
545 bool IsSeamShape(const int subShape) const
546 { return mySeamShapeIds.find( subShape ) != mySeamShapeIds.end(); }
548 * \brief Check if shape is a seam edge or it's vertex
549 * \param subShape - edge or vertex
550 * \retval bool - true if subShape is a seam shape
552 * It works only if IsQuadraticSubMesh() or SetSubShape() has been called.
553 * Seam shape has two 2D alternative represenations on the face
555 bool IsSeamShape(const TopoDS_Shape& subShape) const
556 { return IsSeamShape( GetMeshDS()->ShapeToIndex( subShape )); }
558 * \brief Return true if an edge or a vertex encounters twice in face wire
559 * \param subShape - Id of edge or vertex
561 bool IsRealSeam(const int subShape) const
562 { return mySeamShapeIds.find( -subShape ) != mySeamShapeIds.end(); }
564 * \brief Return true if an edge or a vertex encounters twice in face wire
565 * \param subShape - edge or vertex
567 bool IsRealSeam(const TopoDS_Shape& subShape) const
568 { return IsRealSeam( GetMeshDS()->ShapeToIndex( subShape)); }
570 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
571 * has a seam edge, i.e. an edge that has two parametric representations
573 * \retval bool - true if it has
575 bool HasSeam() const { return !mySeamShapeIds.empty(); }
577 * \brief Check if the shape set through IsQuadraticSubMesh() or SetSubShape()
578 * has a seam edge that encounters twice in a wire
579 * \retval bool - true if it has
581 bool HasRealSeam() const { return HasSeam() && ( *mySeamShapeIds.begin() < 0 ); }
583 * \brief Return index of periodic parametric direction of a closed face
584 * \retval int - 1 for U, 2 for V direction
586 int GetPeriodicIndex() const { return myParIndex; }
588 * \brief Return an alternative parameter for a node on seam
590 double GetOtherParam(const double param) const;
593 * \brief Return existing or create new medium nodes between given ones
594 * \param force3d - true means node creation at the middle between the
595 * two given nodes, else node position is found on its
596 * supporting geometrical shape, if any.
598 const SMDS_MeshNode* GetMediumNode(const SMDS_MeshNode* n1,
599 const SMDS_MeshNode* n2,
602 * \brief Return existing or create a new central node for a quardilateral
603 * quadratic face given its 8 nodes.
604 * \param force3d - true means node creation in between the given nodes,
605 * else node position is found on a geometrical face if any.
607 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
608 const SMDS_MeshNode* n2,
609 const SMDS_MeshNode* n3,
610 const SMDS_MeshNode* n4,
611 const SMDS_MeshNode* n12,
612 const SMDS_MeshNode* n23,
613 const SMDS_MeshNode* n34,
614 const SMDS_MeshNode* n41,
617 * \brief Return existing or create a new central node for a
618 * quadratic triangle given its 6 nodes.
619 * \param force3d - true means node creation in between the given nodes,
620 * else node position is found on a geometrical face if any.
622 const SMDS_MeshNode* GetCentralNode(const SMDS_MeshNode* n1,
623 const SMDS_MeshNode* n2,
624 const SMDS_MeshNode* n3,
625 const SMDS_MeshNode* n12,
626 const SMDS_MeshNode* n23,
627 const SMDS_MeshNode* n31,
630 * \brief Return index and type of the shape (EDGE or FACE only) to set a medium node on
632 std::pair<int, TopAbs_ShapeEnum> GetMediumPos(const SMDS_MeshNode* n1,
633 const SMDS_MeshNode* n2,
634 const bool useCurSubShape=false);
636 * \brief Add a link in my data structure
638 void AddTLinkNode(const SMDS_MeshNode* n1,
639 const SMDS_MeshNode* n2,
640 const SMDS_MeshNode* n12);
642 * \brief Add many links in my data structure
644 void AddTLinkNodeMap(const TLinkNodeMap& aMap)
645 { myTLinkNodeMap.insert(aMap.begin(), aMap.end()); }
647 bool AddTLinks(const SMDS_MeshEdge* edge);
648 bool AddTLinks(const SMDS_MeshFace* face);
649 bool AddTLinks(const SMDS_MeshVolume* vol);
652 * Returns myTLinkNodeMap
654 const TLinkNodeMap& GetTLinkNodeMap() const { return myTLinkNodeMap; }
657 * Check mesh without geometry for: if all elements on this shape are quadratic,
658 * quadratic elements will be created.
659 * Used then generated 3D mesh without geometry.
661 enum MType{ LINEAR, QUADRATIC, COMP };
662 MType IsQuadraticMesh();
664 virtual ~SMESH_MesherHelper();
669 * \brief Select UV on either of 2 pcurves of a seam edge, closest to the given UV
670 * \param uv1 - UV on the seam
671 * \param uv2 - UV within a face
672 * \retval gp_Pnt2d - selected UV
674 gp_Pnt2d GetUVOnSeam( const gp_Pnt2d& uv1, const gp_Pnt2d& uv2 ) const;
676 const SMDS_MeshNode* getMediumNodeOnComposedWire(const SMDS_MeshNode* n1,
677 const SMDS_MeshNode* n2,
681 // Forbiden copy constructor
682 SMESH_MesherHelper (const SMESH_MesherHelper& theOther);
684 // key of a map of bi-quadratic face to it's central node
685 struct TBiQuad: public std::pair<int, std::pair<int, int> >
687 TBiQuad(const SMDS_MeshNode* n1,
688 const SMDS_MeshNode* n2,
689 const SMDS_MeshNode* n3,
690 const SMDS_MeshNode* n4=0)
696 if ( n4 ) s.insert(n4);
697 TIDSortedNodeSet::iterator n = s.begin();
698 first = (*n++)->GetID();
699 second.first = (*n++)->GetID();
700 second.second = (*n++)->GetID();
704 // maps used during creation of quadratic elements
705 TLinkNodeMap myTLinkNodeMap; // medium nodes on links
706 std::map< TBiQuad, const SMDS_MeshNode* > myMapWithCentralNode; // central nodes of faces
708 std::set< int > myDegenShapeIds;
709 std::set< int > mySeamShapeIds;
710 double myPar1[2], myPar2[2]; // U and V bounds of a closed periodic surface
711 int myParIndex; // bounds' index (1-U, 2-V, 3-both)
713 typedef std::map< int, GeomAPI_ProjectPointOnSurf* > TID2ProjectorOnSurf;
714 TID2ProjectorOnSurf myFace2Projector;
715 typedef std::map< int, GeomAPI_ProjectPointOnCurve* > TID2ProjectorOnCurve;
716 TID2ProjectorOnCurve myEdge2Projector;
718 TopoDS_Shape myShape;
722 bool myCreateQuadratic;
723 bool myCreateBiQuadratic;
724 bool mySetElemOnShape;
725 bool myFixNodeParameters;
727 std::map< int,bool > myNodePosShapesValidity;
728 bool toCheckPosOnShape(int shapeID ) const;
729 void setPosOnShapeValidity(int shapeID, bool ok ) const;
732 //=======================================================================
734 SMESH_MesherHelper::calcTFI(double x, double y,
735 const gp_XY& a0,const gp_XY& a1,const gp_XY& a2,const gp_XY& a3,
736 const gp_XY& p0,const gp_XY& p1,const gp_XY& p2,const gp_XY& p3)
739 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
740 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
742 //=======================================================================
744 SMESH_MesherHelper::calcTFI(double x, double y,
745 const gp_XYZ& a0,const gp_XYZ& a1,const gp_XYZ& a2,const gp_XYZ& a3,
746 const gp_XYZ& p0,const gp_XYZ& p1,const gp_XYZ& p2,const gp_XYZ& p3)
749 ((1 - y) * p0 + x * p1 + y * p2 + (1 - x) * p3 ) -
750 ((1 - x) * (1 - y) * a0 + x * (1 - y) * a1 + x * y * a2 + (1 - x) * y * a3);
752 //=======================================================================